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Finding the Fourth Proportional to 219,211.40, 328,817.10 and 160,162.40

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Solution

The fourth proportional to 219,211.40, 328,817.10 and 160,162.40 is: 240,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,211.40 : 328,817.10 = 160,162.40 : x
  2. Step 2: Convert to fraction form
    219,211.40/328,817.10 = 160,162.40/x
  3. Step 3: Cross multiply
    219,211.40x = 328,817.10 × 160,162.40
  4. Step 4: Simplify right side
    219,211.40x = 52,664,135,897.04
  5. Step 5: Solve for x
    x = 52,664,135,897.04/219,211.40
  6. Step 6: Final answer
    x = 240,243.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.